Sujet : Re: Replacement of Cardinality
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : sci.logicDate : 30. Jul 2024, 09:26:47
Autres entêtes
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On 2024-07-29 13:15:36 +0000, WM said:
Le 29/07/2024 à 11:01, Mikko a écrit :
He also notes that what we have learned from finite quatities does
not apply to infinity.
Unit fractions are isolated. They have distances. The function "unit fractions between 0 and x" can nowhere grow by more than 1.
The number of unit fractions between 0 and x is infinite and the number
of unit fractions between 0 and y is infinite. Whether one infinity is
bigger or smaller than another infinity is not answerable merely on the
basis of our experinece about finite quantities but only after a carful
analysis if at all.
-- Mikko